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Finding the Third Proportional to 775,104 and 1,668,960

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Solution

The third proportional to 775,104 and 1,668,960 is: 3,593,617.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,104 : 1,668,960 = 1,668,960 : x
  2. Step 2: Convert to fraction form
    775,104/1,668,960 = 1,668,960/x
  3. Step 3: Cross multiply
    775,104x = 1,668,960 × 1,668,960
  4. Step 4: Simplify right side
    775,104x = 2,785,427,481,600
  5. Step 5: Solve for x
    x = 2,785,427,481,600/775,104
  6. Step 6: Final answer
    x = 3,593,617.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.